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Finding the Third Proportional to 135,189 and 287,847

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Solution

The third proportional to 135,189 and 287,847 is: 612,889.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,189 : 287,847 = 287,847 : x
  2. Step 2: Convert to fraction form
    135,189/287,847 = 287,847/x
  3. Step 3: Cross multiply
    135,189x = 287,847 × 287,847
  4. Step 4: Simplify right side
    135,189x = 82,855,895,409
  5. Step 5: Solve for x
    x = 82,855,895,409/135,189
  6. Step 6: Final answer
    x = 612,889.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.